协调计划要点

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The Fly on the Ceiling
::最高天顶上的飞翔

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Rene Descartes invented a system to describe where something is on a flat (2-dimensional) plane. This system is commonly called the Cartesian C oordinate S ystem. When using this system, we can describe the position of an object by the location on the horizontal  $\begin{align*}\boldsymbol{x\text{-}}\end{align*}$ axis number line and the vertical  $\begin{align*}\boldsymbol{y\text{-}}\end{align*}$ axis number line. The location of the object can be written using  a coordinate written as  $\begin{align*}(x, y)\end{align*}$  where $\begin{align*}x\end{align*}$  is the location of the object along the $\begin{align*}x\text{-}\end{align*}$ axis and $\begin{align*}y\end{align*}$  is the location of the object along the $\begin{align*}y\text{-}\end{align*}$ axis.
::Rene Descartes发明了一个系统来描述平面(2维)平面上的东西的位置。 这个系统通常被称为笛卡尔坐标系统。 当使用这个系统时, 我们可以按照水平 X 轴号线和垂直 y 轴号线上的位置来描述对象的位置。 对象的位置可以用一个坐标写成( x,y) , x 是X 轴上对象的位置, y 是 y 轴上对象的位置 。

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In this interactive, you will practice identifying points on a coordinate plane by playing a game in which you describe the location of a fly.
::在此互动中,您将练习在协调飞机上识别点,玩一个描述苍蝇位置的游戏。

 

 

 

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The Four Quadrants
::四长方

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The most common use of the Cartesian coordinate graph has  four sections. The four sections on a Cartesian coordinate plane are known as quadrants , which are numbered counterclockwise as seen below.
::笛卡尔坐标图最常用的用途为四节,笛卡尔坐标平面上四节称为四节,按反时针编号如下。

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The origin is the point (0, 0) and is used as a reference point for determining the location of every other point on the plane.
::起点是点(0,0),用作确定飞机上其他点位置的参考点。

 

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For the next interactive, you will practice graphing coordinate points by dragging buildings to the given coordinates .
::对于下一个互动点,您将练习图形坐标点,将建筑物拖到给定坐标处。

 

 

 

 

 

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The Fly on the Ceiling Part 3
::《天花板上的飞行》第3部分

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It is unlikely that randomly chosen $\begin{align*}x\end{align*}$  and $\begin{align*}y\end{align*}$  values will both be integers . Consider the situation below.
::随机选择的 x 和 y 值不可能同时为整数。 请参考下面的情况 。

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To graph the scenario above,  you will need to use rational numbers.  You can use either fractions or decimals.
::要绘制上面的情景图,您需要使用合理数字。您可以使用分数或小数。

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This interactive will use the game of describing the location of a fly on a ceiling to help you practice identifying coordinates of points that may not be integers but decimals.
::此互动将使用描述天花板上的苍蝇位置的游戏, 帮助您练习辨别点的坐标, 这些点可能不是整数,而是小数。

 

 

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Interpreting Points on the Coordinate Plane
::协调计划解释要点

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The location of a point on a coordinate plane describes the relationship between the $\begin{align*}x-\end{align*}$ value and the $\begin{align*}y-\end{align*}$ value for that point. The meaning of the point will vary based on what the $\begin{align*}x-\end{align*}$ axis and $\begin{align*}y-\end{align*}$ axis represent.  Th e point (3, 6) could have different meanings on different graphs.
::坐标平面上的点的位置描述该点的 x- 值和 y- 值之间的关系。 点的含义将因 x- 轴和 y- 轴代表什么而不同。 点( 3, 6) 在不同图表上可能有不同的含义 。

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In the interactive below, you will look at different graphs that have an $\begin{align*}x-\end{align*}$ axis and $\begin{align*}y-\end{align*}$ axis that represent different examples in the real world.
::在下文互动中,您将查看不同图表,这些图表有x-轴和y-轴,它们代表真实世界中不同的例子。

 

 

 

 

 

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Making a Robot Part 6
::将机器人编为第6部分

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In other lessons, you  programmed  a robot to move in two dimensions . Thus far  the robot accepts the following commands:
::在其他课程中,您编程了一个机器人在两个维度上移动。迄今为止,机器人接受了以下命令:

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• stepsY - This command will move the robot n steps forward, or n steps backward. The command stepsY(4) will move the robot 4 steps forward, and the command stepsY(-2) will move the robot 2 steps backward.
  ::stepsY - 此命令将移动机器人 n 步向前, 或 n 步向后。 命令步骤Y(4) 将移动机器人 4 步向前, 命令步骤Y( 2) 将移动机器人 2 步向后。
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• stepsX - This command will move the robot $\begin{align*}n\end{align*}$  steps right or $\begin{align*}n\end{align*}$  steps left. The command stepsX(4) will move the robot 4 steps right, and the command stepsX(-2) will move the robot 2 steps left.
  ::stepsX - 此命令将移动机器人 n 步向右或 n 步向左。 命令 stepsX(4) 将移动机器人 4 步向右, 命令 stepsX(-2) 将移动机器人 2 步向左 。

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Now you  need to modify  the location() command to identify the location of the relative to its starting position in two dimensions.
::现在您需要修改位置 () 命令, 以在两个维度中确定相对于起始位置的位置 。

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Using this interactive, you will see how a robot’s locations on a tiled grid are related to its location on a coordinate plane as you move it vertically and horizontally .
::使用此互动方式, 您可以在垂直和水平移动时看到机器人在网格上的位置 是如何与其在坐标平面上的位置相联系的。

 

 

 

 

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Discussion Questions:
::讨论问题:

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1. How can we use a number system to identify the position of the robot in 2-dimensions?
   ::我们如何使用一个数字系统来识别机器人在 2 diensions 的位置?
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2. If the robot took three steps right and then six steps forward what would location() return?
   ::如果机器人走三步右转 然后往前走六步 位置会回到哪里?
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3. If the robot took two steps left and then seven steps backward what number would location() return?
   ::如果机器人左转两步后退七步 返回的位置()是多少?

Summary

播放段落 Describe the position of an object by the location on the horizontal x-axis number line and the vertical y-axis number line. ::按水平 X 轴号线和垂直 y 轴号线上的位置描述对象的位置。 播放段落 Write the position of a number on the coordinate plane in the form: (x,y) . ::以表(x,y)写出坐标平面上数字的位置x,y)。 播放段落 There are four sections on the Cartesian plane known as quadrants . ::笛卡尔飞机上有四个部分 被称为四重方位 播放段落 The point (0,0) is the origin . ::点( 0,0) 是源。